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Finding the Fourth Proportional to 2,502.83, 3,754.58 and 836.39

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Solution

The fourth proportional to 2,502.83, 3,754.58 and 836.39 is: 1,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.83 : 3,754.58 = 836.39 : x
  2. Step 2: Convert to fraction form
    2,502.83/3,754.58 = 836.39/x
  3. Step 3: Cross multiply
    2,502.83x = 3,754.58 × 836.39
  4. Step 4: Simplify right side
    2,502.83x = 3,140,298.37
  5. Step 5: Solve for x
    x = 3,140,298.37/2,502.83
  6. Step 6: Final answer
    x = 1,254.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.